This simple formula tells you how long it will take for your money to double—while you sit back and relax (2024)

If you put your money in the right places, it can grow substantially over time, thanks to the power of compound interest. It could even double, while you don't have to do a thing.

Want to figure out just how fast your money could grow? The "Rule of 72" approximates how many years it will take for your money to double, given a fixed rate of return.

"Think about your savings for the future," Tom Mathews and Steve Siebold write in their book "How Money Works," which highlights the "Rule of 72" as of one of three essential personal finance topics to understand (the other two being compound interest and the time value of money). "The Rule of 72 can give you an idea of how many doubles you'll get in your lifetime. With more time, a lower interest rate may give you enough to nail your goals. With less time, you may need a higher interest rate."

The formula is simple: 72 / interest rate = years to double

Try plugging in various interest rates from the different accounts your money is in, from savings and money market accounts to index and mutual funds. For example, if your account earns:

1%, it will take 72 years for your money to double (72 / 1 = 72)
3%, it will take 24 years for your money to double (72 / 3 = 24)
6%, it will take 12 years for your money to double (72 / 6 = 12)
9%, it will take 8 years for your money to double (72 / 9 = 8)
12%, it will take 6 years for your money to double (72 / 12 = 6)

If your money sits in a standard savings account and earns just 0.09% (the average interest rate for savings accounts nationwide), it would take 800 years to double.

If you have extra savings, you're probably better off keeping it in a high-yield savings account or certificate of deposit, which both offer significantly higher interest rates, up to 2.69%.

If you invest your money in the stock market, whether through an employer-sponsored 401(k) plan, a traditional or Roth IRA, an individual brokerage account or somewhere else, you'll likely see even bigger returns. The average annualized total return for the S&P 500 index over the past 90 years is 9.8%. Adjusted for inflation, it still comes to an annual return of around 7% to 8%. If you earn 7%, your money will double in a little over 10 years.

This simple formula tells you how long it will take for your money to double—while you sit back and relax (1)

VIDEO2:1502:15

How compound interest works

You can also use the Rule of 72 to plug in interest rates from credit card debt, a car loan, home mortgage, or student loan to figure out how many years it'll take your money to double for someone else.

For example, the average interest rate for credit cards is 17.3%. If you divide 72 by that rate, you get 4.16 years. That's all it takes for a credit card company to earn double your money. The higher the interest rate, the more you'll owe to your lenders.

If you have debt, look into the possibility of refinancing your car loan or mortgage to get a lower interest rate.

The "Rule of 72" is "a practical eye opener that forces you to ask shrewd questions before making important money decisions," Mathews and Siebold write. If you understand and apply it to your personal finances, "you're less likely to fall for gimmicky promotions from banks, settle for opportunities that don't give you the advantage, and take on debt that might take forever to pay off."

Don't miss: Most Americans don't understand a money term that can help you save hundreds of thousands of dollars

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This simple formula tells you how long it will take for your money to double—while you sit back and relax (2)

VIDEO2:4002:40

David Bach: This simple chart changed the way I think about money

This simple formula tells you how long it will take for your money to double—while you sit back and relax (2024)

FAQs

This simple formula tells you how long it will take for your money to double—while you sit back and relax? ›

The Rule of 72 predicts how long an investment will take to double based on a fixed annual interest rate. The rule is this: 72 divided by the interest rate number equals the number of years for the investment to double in size.

What is the formula for doubling your money? ›

Number of years to double the money = 72 / Interest Rate

It is a reasonably accurate formula and more so while using lower interest rates than higher ones. If your money is kept in a savings account that earns just 4%, it will take 18 years to double your money.

What is the formula to determine how long it will take for your money to double at any given interest rate known as? ›

The Rule of 72 is an easy way to calculate how long an investment will take to double in value given a fixed annual rate of interest. Dividing 72 by the annual rate of return gives investors an estimate of how many years it will take for the initial investment to duplicate.

What is the formula for simple interest time to double? ›

What is the Rule of 72? Here's how it works: Divide 72 by your expected annual interest rate (as a percentage, not a decimal). The answer is roughly the number of years it will take for your money to double.

What formula tells you how long it will take your investment to double in value? ›

Here's how the Rule of 72 works. You take the number 72 and divide it by the investment's projected annual return. The result is the number of years, approximately, it'll take for your money to double.

How to 2x your money? ›

The classic approach to doubling your money is investing in a diversified portfolio of stocks and bonds, which is likely the best option for most investors. Investing to double your money can be done safely over several years, but there's a greater risk of losing most or all your money when you're impatient.

How long will it take to double your money? ›

Rule of 72 can be of help. Divide 72 by the expected rate of return and the answer is the number of years required to double your money. For example, if a bond offers 6 percent rate of interest per year, then you will double your money in 12 years.

What is the formula for doubling your profits? ›

Do you know the Rule of 72? It's an easy way to calculate just how long it's going to take for your money to double. Just take the number 72 and divide it by the interest rate you hope to earn. That number gives you the approximate number of years it will take for your investment to double.

How long until money doubles calculator? ›

The Rule of 72 predicts how long an investment will take to double based on a fixed annual interest rate. The rule is this: 72 divided by the interest rate number equals the number of years for the investment to double in size. For example, if the interest rate is 12%, you would divide 72 by 12 to get 6.

Does money double every 7 years? ›

Assuming long-term market returns stay more or less the same, the Rule of 72 tells us that you should be able to double your money every 7.2 years.

What is the simple formula for doubling time? ›

The Rule of 70 is a simplified way of determining the doubling time using the equation, doubling time = 70 / r , where r is the rate of growth for a population in percent. For example, if a population of 10 species were growing by two individuals a year, the r value would be 20%.

What is simple interest times formula? ›

Simple Interest Formula

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage R% (and is to be written as R/100, thus 100 in the formula).

What is simple interest formula 2? ›

Simple interest is calculated by multiplying the principal, the amount of money that is initially invested or borrowed, by the rate, the speed at which the interest grows, and the time, how long money is being invested or borrowed. In other words, the formula for simple interest is I = P R T .

How long does it take for money to grow? ›

Rule of 72

Divide 72 by the current interest rate to estimate the number of years that it will take to double your initial savings amount. For example, if you invest $50.00 in a savings account at a 4% interest rate, it will take about 18 years for your initial savings of $50.00 to double.

What is the formula for value of investment over time? ›

You can calculate the return on your investment by subtracting the initial amount of money that you put in from the final value of your financial investment. Then you would divide this total by the cost of the investment and multiply that by 100.

What is the equation that estimates how long it will take to double an investment with a fixed interest rate? ›

Rule of 72 Formula

You can calculate the number of years to double your investment at some known interest rate by solving for t: t = 72 ÷ R. You can also calculate the interest rate required to double your money within a known time frame by solving for R: R = 72 ÷ t.

How do you calculate doubling? ›

There is an important relationship between the percent growth rate and its doubling time known as “the rule of 70”: to estimate the doubling time for a steadily growing quantity, simply divide the number 70 by the percentage growth rate.

What is the formula for doubling everyday? ›

If you double a penny every day for 365 days, you're essentially performing the operation 2^365 / 100. That's 2 to the power of 365. Then divide by 100 to get dollar amount.

How long will it take to double $1000 at 6% interest? ›

So, if the interest rate is 6%, you would divide 72 by 6 to get 12. This means that the investment will take about 12 years to double with a 6% fixed annual interest rate.

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